Final answer to the problem
$x=5$
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1
Express the numbers in the equation as logarithms of base $3$
$\log_{3}\left(x+4\right)+\log_{3}\left(x-4\right)=\log_{3}\left(3^{2}\right)$
Learn how to solve equations logarithmiques problems step by step online.
$\log_{3}\left(x+4\right)+\log_{3}\left(x-4\right)=\log_{3}\left(3^{2}\right)$
Learn how to solve equations logarithmiques problems step by step online. log3(x+4)+log3(x+-4)=2. Express the numbers in the equation as logarithms of base 3. Apply the formula: \log_{a}\left(x\right)+\log_{a}\left(y\right)=\log_{a}\left(xy\right), where a=3, x=x+4 and y=x-4. Apply the formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, where a=x, b=4, c=-4, a+c=x-4 and a+b=x+4. Apply the formula: \log_{b}\left(b^a\right)=a, where a=2 and b=3.
Final answer to the problem
$x=5$
